733843968 has 240 divisors, whose sum is σ = 2318396256. Its totient is φ = 204472320.

The previous prime is 733843963. The next prime is 733843987. The reversal of 733843968 is 869348337.

It is a self number, because there is not a number n which added to its sum of digits gives 733843968.

It is not an unprimeable number, because it can be changed into a prime (733843963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2855296 + ... + 2855552.

Almost surely, 2^733843968 is an apocalyptic number.

733843968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 733843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159198128).

733843968 is an abundant number, since it is smaller than the sum of its proper divisors (1584552288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

733843968 is a wasteful number, since it uses less digits than its factorization.

733843968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 733843968 is about 27089.5545921302. The cubic root of 733843968 is about 901.9890035254.

The spelling of 733843968 in words is "seven hundred thirty-three million, eight hundred forty-three thousand, nine hundred sixty-eight".